To determine if Dale is correct, we need to analyze the situation:
-
Dale and 2 friends are sharing one fourth of a cake: This means that there are 3 people sharing one fourth of the whole cake.
-
Each piece is the same size: Since they are dividing one fourth of the cake among 3 people, each person will get a piece that is one third of the one fourth of the cake.
-
Total angle of the cake: A whole cake is represented by a circle, which has a total angle measure of 360°.
-
One fourth of the cake: The angle measure of one fourth of the cake is: \[ \frac{1}{4} \times 360° = 90° \]
-
Dividing this one fourth among 3 friends: Each person will receive: \[ \frac{90°}{3} = 30° \]
Now, applying these findings to the drop-down menus:
- Dale is incorrect.
- One fourth of the cake measures 90°;
- 90° ÷
- 3 =
- 30°.
So the complete statement would read: Dale is incorrect. One fourth of the cake measures 90°; 90° ÷ 3 = 30°.